Search a number
-
+
53546505333106 = 2240775311119601
BaseRepresentation
bin11000010110011010001000…
…11011011110100101110010
321000120222220000121221201011
430023031010123132211302
524004301220331124411
6305514531442501134
714164415214362242
oct1413150433364562
9230528800557634
1053546505333106
1116074a44340355
1260098083647aa
1323b554c120616
14d31943c83b22
1562cd02b74c21
hex30b3446de972

53546505333106 has 8 divisors (see below), whose sum is σ = 80319798581724. Its totient is φ = 26773239139200.

The previous prime is 53546505333071. The next prime is 53546505333109. The reversal of 53546505333106 is 60133350564535.

53546505333106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 39619987502481 + 13926517830625 = 6294441^2 + 3731825^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a self number, because there is not a number n which added to its sum of digits gives 53546505333106.

It is not an unprimeable number, because it can be changed into a prime (53546505333109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 744295 + ... + 10375306.

Almost surely, 253546505333106 is an apocalyptic number.

53546505333106 is a deficient number, since it is larger than the sum of its proper divisors (26773293248618).

53546505333106 is a wasteful number, since it uses less digits than its factorization.

53546505333106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13527356.

The product of its (nonzero) digits is 7290000, while the sum is 49.

The spelling of 53546505333106 in words is "fifty-three trillion, five hundred forty-six billion, five hundred five million, three hundred thirty-three thousand, one hundred six".

Divisors: 1 2 2407753 4815506 11119601 22239202 26773252666553 53546505333106